{"id":123,"date":"2023-08-05T05:41:37","date_gmt":"2023-08-05T05:41:37","guid":{"rendered":"https:\/\/statorials.org\/tr\/pozitif-asimetri\/"},"modified":"2023-08-05T05:41:37","modified_gmt":"2023-08-05T05:41:37","slug":"pozitif-asimetri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/pozitif-asimetri\/","title":{"rendered":"Pozitif asimetri"},"content":{"rendered":"<p>Bu makalede istatistiklerde pozitif \u00e7arp\u0131kl\u0131\u011f\u0131n ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. B\u00f6ylece pozitif \u00e7arp\u0131k olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n bir \u00f6rne\u011fini ve bir da\u011f\u0131l\u0131m\u0131n pozitif \u00e7arp\u0131k olup olmad\u0131\u011f\u0131n\u0131n nas\u0131l belirlenece\u011fini bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-asimetria-positiva\"><\/span> Pozitif asimetri nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistiklerde <strong>pozitif \u00e7arp\u0131kl\u0131k<\/strong> , grafiklerinde sa\u011f kuyru\u011fun sol kuyruktan daha uzun oldu\u011fu olas\u0131l\u0131k da\u011f\u0131l\u0131mlar\u0131n\u0131n bir \u00f6zelli\u011fidir.<\/p>\n<p> Yani pozitif \u00e7arp\u0131k bir da\u011f\u0131l\u0131m, ortalaman\u0131n sa\u011f\u0131nda daha farkl\u0131 de\u011ferlere sahip oldu\u011fu anlam\u0131na gelir.<\/p>\n<p> Pozitif \u00e7arp\u0131kl\u0131\u011f\u0131n tan\u0131m\u0131 \u00f6znel gibi g\u00f6r\u00fcnse de, bir da\u011f\u0131l\u0131m\u0131n \u00e7arp\u0131kl\u0131\u011f\u0131n\u0131n ne zaman pozitif oldu\u011funu belirlemek i\u00e7in \u00e7e\u015fitli form\u00fcller vard\u0131r. A\u015fa\u011f\u0131da bir olas\u0131l\u0131k fonksiyonunun asimetrisinin veya simetrisinin nas\u0131l hesapland\u0131\u011f\u0131n\u0131 g\u00f6rece\u011fiz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-asimetria-positiva\"><\/span>Pozitif asimetri \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Pozitif \u00e7arp\u0131kl\u0131\u011f\u0131n anlam\u0131n\u0131 tam olarak anlamak i\u00e7in bu b\u00f6l\u00fcmde <strong>pozitif \u00e7arp\u0131k bir da\u011f\u0131l\u0131m \u00f6rne\u011fi<\/strong> g\u00f6sterilmektedir: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/asymetrie-positive.png\" alt=\"pozitif asimetri\" class=\"wp-image-2687\" width=\"271\" height=\"270\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> E\u011fri pozitif bir asimetriye sahiptir \u00e7\u00fcnk\u00fc ortalaman\u0131n sa\u011f\u0131nda sola g\u00f6re \u00e7ok daha fazla de\u011fer vard\u0131r. Grafikten g\u00f6rebilece\u011finiz gibi ye\u015fil renkle g\u00f6sterilen \u00e7ubuk, turuncu \u00e7ubuktan \u00e7ok daha b\u00fcy\u00fckt\u00fcr.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"otros-tipos-de-asimetria\"><\/span> Di\u011fer asimetri t\u00fcrleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistiklerde pozitif asimetrinin yan\u0131 s\u0131ra ba\u015fka asimetri t\u00fcrlerinin de bulundu\u011funu belirtmek gerekir. Bir olas\u0131l\u0131k e\u011frisi ayn\u0131 zamanda negatif olarak \u00e7arp\u0131k veya hatta tamamen simetrik olabilir.<\/p>\n<ul>\n<li> <strong>Pozitif asimetri<\/strong> : Da\u011f\u0131l\u0131m\u0131n kuyru\u011fu sa\u011fa do\u011fru uzar, yani ortalaman\u0131n sa\u011f\u0131nda daha farkl\u0131 de\u011ferler bulunur.<\/li>\n<li> <strong>Negatif \u00e7arp\u0131kl\u0131k<\/strong> : Da\u011f\u0131l\u0131m\u0131n kuyru\u011fu sola do\u011fru uzar, yani ortalaman\u0131n solunda daha farkl\u0131 de\u011ferler bulunur.<\/li>\n<li> <strong>Simetri<\/strong> : Da\u011f\u0131l\u0131m, ortalaman\u0131n solunda ve sa\u011f\u0131nda ayn\u0131 say\u0131da de\u011fere sahiptir. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-saber-si-es-asimetria-positiva\"><\/span> Pozitif asimetri olup olmad\u0131\u011f\u0131 nas\u0131l anla\u015f\u0131l\u0131r?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Geleneksel olarak, e\u011fer ortalama medyandan b\u00fcy\u00fckse da\u011f\u0131l\u0131m\u0131n pozitif \u00e7arp\u0131k oldu\u011fu a\u00e7\u0131klan\u0131r. Ancak bu \u00f6zellik her zaman tatmin edici de\u011fildir. Dolay\u0131s\u0131yla bir da\u011f\u0131l\u0131m\u0131n \u00e7arp\u0131kl\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in Fisher&#8217;in \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131n\u0131 hesaplaman\u0131z gerekir.<\/p>\n<p> Fisher asimetri katsay\u0131s\u0131 a\u015fa\u011f\u0131daki form\u00fclle hesaplan\u0131r:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a7c403ee0227e6c36f8c80eaeafba63e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=E\\left[\\left(\\frac{X-\\mu}{\\sigma}\\right)^3 \\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"160\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p> Veya e\u015fde\u011fer:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-92f7c8482d520258f24cc0166d898d1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\operatorname{E}[X^3] - 3\\mu\\sigma^2 - \\mu^3}{\\sigma^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"188\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Alt\u0131n<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-638a7387bd72763290cc777a9b509c38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> Bu <a href=\"https:\/\/statorials.org\/tr\/matematiksel-beklenti-veya-beklenen-deger\/\">matematiksel bir umut<\/a> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/aritmetik-ortalama\/\">aritmetik ortalama<\/a> ve<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/standart-sapma-veya-standart-sapma\/\">standart sapma<\/a> .<\/p>\n<p> Fisher katsay\u0131s\u0131n\u0131n i\u015fareti da\u011f\u0131l\u0131m\u0131n asimetrisini belirlemeyi m\u00fcmk\u00fcn k\u0131lar:<\/p>\n<ul>\n<li> Fisher&#8217;in \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131 pozitif ise da\u011f\u0131l\u0131m pozitif \u00e7arp\u0131kt\u0131r.<\/li>\n<li> Fisher&#8217;in \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131 negatif ise da\u011f\u0131l\u0131m negatif \u00e7arp\u0131kt\u0131r.<\/li>\n<li> Da\u011f\u0131l\u0131m simetrikse Fisher&#8217;in \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131 s\u0131f\u0131ra e\u015fittir (tersi do\u011fru de\u011fildir).<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede istatistiklerde pozitif \u00e7arp\u0131kl\u0131\u011f\u0131n ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. B\u00f6ylece pozitif \u00e7arp\u0131k olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n bir \u00f6rne\u011fini ve bir da\u011f\u0131l\u0131m\u0131n pozitif \u00e7arp\u0131k olup olmad\u0131\u011f\u0131n\u0131n nas\u0131l belirlenece\u011fini bulacaks\u0131n\u0131z. Pozitif asimetri nedir? \u0130statistiklerde pozitif \u00e7arp\u0131kl\u0131k , grafiklerinde sa\u011f kuyru\u011fun sol kuyruktan daha uzun oldu\u011fu olas\u0131l\u0131k da\u011f\u0131l\u0131mlar\u0131n\u0131n bir \u00f6zelli\u011fidir. Yani pozitif \u00e7arp\u0131k bir da\u011f\u0131l\u0131m, ortalaman\u0131n sa\u011f\u0131nda daha farkl\u0131 de\u011ferlere sahip [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-123","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Pozitif asimetri (istatistikler)<\/title>\n<meta name=\"description\" content=\"Burada istatistikte pozitif \u00e7arp\u0131kl\u0131\u011f\u0131n ne oldu\u011funu, pozitif \u00e7arp\u0131kl\u0131\u011f\u0131n bir \u00f6rne\u011fini ve bir da\u011f\u0131l\u0131m\u0131n pozitif \u00e7arp\u0131k olup olmad\u0131\u011f\u0131n\u0131 nas\u0131l anlayaca\u011f\u0131n\u0131z\u0131 \u00f6\u011freneceksiniz.\" 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